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Mashutka [201]
3 years ago
15

Simplify the polynomial expression: (3y2+y+10)−(2y2−7y+12)

Mathematics
1 answer:
masya89 [10]3 years ago
4 0
The answer to the question

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The city council of Pine Bluffs is considering increasing the number of police in an effort to reduce crime. Before making a fin
nikdorinn [45]

Answer:

Part a

The regression equation is, \hat y = 29.3877 - 0.9596x

Part b

The number of crimes for a city at 20 police officers was appointed is approximately 10.

Step-by-step explanation:

<u>x          y         xy         x²         y²</u>

15      17        255      225         289

17      7            119      289          49

17      13         221       289        169

12      21          252      144          441

25      5         125       625          25

11       19          209        121           361

27     7           189        729           49

22    6         132       484          36

146    95      502      2906      1419

Therefore,

\hat B_1=\frac{n \sum xy - (\sum x) (\sum y)}{n (\sum x^2) - (\sum x)^2}

= \frac{8(1502) - (146)(95)}{8(2906)-(146)^2} \\\\= \frac{-1854}{1932} \\\\= - 0.9596

The calculation of the intercept coefficient is as follows:

\hat B_0= \frac{\sum y }{n} - \hat B_1 (\frac{\sum x}{n} )

= \frac{95}{8} - (-0.9596)(\frac{146}{8} )\\\\= 11.875 + 17.5127\\\\= 29.3877

The regression equation is, \hat y = 29.3877 - 0.9596x

b)

The calculation is as follows:

\hat y= 29.3877 - 0.9596x\\\\= 29.3877-0.9596(20)\\\\=29.3877-19.1920\\\\=10.1957

≅ 10

The number of crimes for a city at 20 police officers was appointed is approximately 10.

The number of crimes for a city at 20 police officers was appointed is approximately 10.

That is, the number of polices increases then the number of crimes will be decreases.

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A theater company charges $9.50 per ticket for people of all age groups. If c represents the total number of children who bought
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Answer:

2

Step-by-step explanation:

because whether a child or an adult buys the ticket it is still $9.50

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Dale is trying to find the height of a triangular wall.
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2

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